Blowup behavior of harmonic maps with finite index

doi:10.1007/s00526-017-1211-z

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	Blowup behavior of harmonic maps with finite index
	Li, Yuxiang 1; Liu, Lei 1,4; Wang, Youde2,3
	2017-10-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	56 期号:5 页码:16
摘要	In this paper, we study the blow-up phenomena on the alpha k-harmonicmap sequences with bounded uniformly alpha k-energy, denoted by {u(alpha k) : alpha k > 1 and alpha k SE arrow 1}, from a compact Riemann surface into a compact Riemannian manifold. If the Ricci curvature of the target manifold has a positive lower bound and the indices of the alpha k-harmonic map sequence with respect to the corresponding alpha k-energy are bounded, then we can conclude that, if the blow-up phenomena occurs in the convergence of {u(alpha k)} as alpha k SE arrow 1, the limiting necks of the convergence of the sequence consist of finite length geodesics, hence the energy identity holds true. For a harmonic map sequence u(k) : (Sigma, h(k)) -> N, where the conformal class defined by h(k) diverges, we also prove some similar results.
DOI	10.1007/s00526-017-1211-z
语种	英语
资助项目	Max Planck Society ; NSFC[11131007] ; NSFC[11471316]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000412309900005
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26692
专题	数学所
通讯作者	Liu, Lei
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing, Peoples R China 4.Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany
推荐引用方式 GB/T 7714	Li, Yuxiang,Liu, Lei,Wang, Youde. Blowup behavior of harmonic maps with finite index[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2017,56(5):16.
APA	Li, Yuxiang,Liu, Lei,&Wang, Youde.(2017).Blowup behavior of harmonic maps with finite index.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,56(5),16.
MLA	Li, Yuxiang,et al."Blowup behavior of harmonic maps with finite index".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 56.5(2017):16.